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Finding the Fourth Proportional to 9,767.97, 14,647.58 and 5,821.09

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Solution

The fourth proportional to 9,767.97, 14,647.58 and 5,821.09 is: 8,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.97 : 14,647.58 = 5,821.09 : x
  2. Step 2: Convert to fraction form
    9,767.97/14,647.58 = 5,821.09/x
  3. Step 3: Cross multiply
    9,767.97x = 14,647.58 × 5,821.09
  4. Step 4: Simplify right side
    9,767.97x = 85,264,881.46
  5. Step 5: Solve for x
    x = 85,264,881.46/9,767.97
  6. Step 6: Final answer
    x = 8,729.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.